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ETConsider the diagram to the right below and complete the proof below.АGiven: E is the midpoint of ATMZOGE = MZGOEMLAEG > MZTEOProve: GE=0E and AG > TO0ReasonsStatements1. MZOGE=mZGOE1. Given2. GEOE2.3. E is the midpoint of AT4. ZE ET3. Given4. Definition of the midpoint of a line segment.5. Congruent segments have equal length.5. AE = ET6. MLAEG > MZTEO6. Given7. AG > TO7.

User Lamell
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For GE = OE

Reason : Sides opposite to the equal angles of a triangle are equal. (Isosceles triangle theorem CPCTC)

User Genegc
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